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525025000 = 235521001
BaseRepresentation
bin11111010010110…
…011111011101000
31100120221000220101
4133102303323220
52033401300000
6124033035144
716003432063
oct3722637350
91316830811
10525025000
1124a3aa065
121279b5ab4
1384a077a6
144da2b8da
153115ce6a
hex1f4b3ee8

525025000 has 48 divisors (see below), whose sum is σ = 1230507180. Its totient is φ = 210000000.

The previous prime is 525024989. The next prime is 525025001. The reversal of 525025000 is 520525.

It can be written as a sum of positive squares in 6 ways, for example, as 123343236 + 401681764 = 11106^2 + 20042^2 .

It is not an unprimeable number, because it can be changed into a prime (525025001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14500 + ... + 35500.

Almost surely, 2525025000 is an apocalyptic number.

525025000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615253590).

525025000 is an abundant number, since it is smaller than the sum of its proper divisors (705482180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

525025000 is an equidigital number, since it uses as much as digits as its factorization.

525025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21032 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 525025000 is about 22913.4240130104. The cubic root of 525025000 is about 806.7271277983.

Adding to 525025000 its reverse (520525), we get a palindrome (525545525).

The spelling of 525025000 in words is "five hundred twenty-five million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 21001 25000 42002 84004 105005 168008 210010 420020 525025 840040 1050050 2100100 2625125 4200200 5250250 10500500 13125625 21001000 26251250 52502500 65628125 105005000 131256250 262512500 525025000